Details

analyze271.0ms (8.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	255×	body	128	valid
0.0ms	9×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify177.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_10560`
3×	`*-un-lft-identity_binary64_10524` `sum-log_binary64_10612`
1×	`pow1_binary64_10582` `add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557` `+-commutative_binary64_10456` `add-sqr-sqrt_binary64_10545` `associate-+l+_binary64_10459` `distribute-lft-out_binary64_10477` `add-cube-cbrt_binary64_10556` `flip3-+_binary64_10527` `flip-+_binary64_10498`

Counts

1 → 14

Calls

1 calls:

12.0ms

(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

series48.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

47.0ms

(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

simplify125.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4954	294
1	4954	294

prune20.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

Compiler

Compiled 277 to 155 computations (44% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (.f64 x y)))) (cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y)))))
0.6b	(cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))))

rewrite70.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_10552`
35×	`*-un-lft-identity_binary64_10524`
23×	`add-sqr-sqrt_binary64_10545`
18×	`cbrt-div_binary64_10553`
15×	`add-cube-cbrt_binary64_10556`
11×	`pow1_binary64_10582`
9×	`pow1/3_binary64_10603` `swap-sqr_binary64_10491` `distribute-lft-out_binary64_10477` `flip3-+_binary64_10527` `flip-+_binary64_10498`
7×	`associate-l_binary64_10467` `associate-r_binary64_10466`
6×	`add-exp-log_binary64_10559`
4×	`add-cbrt-cube_binary64_10557` `unswap-sqr_binary64_10492` `add-log-exp_binary64_10560` `frac-times_binary64_10534`
2×	`pow-prod-down_binary64_10592` `associate-r/_binary64_10468` `pow-sqr_binary64_10497` `associate-l/_binary64_10469` `pow-prod-up_binary64_10591`
1×	`pow-plus_binary64_10584` `prod-exp_binary64_10570` `pow2_binary64_10602` `*-commutative_binary64_10457` `cbrt-unprod_binary64_10554`

Counts

4 → 95

Calls

4 calls:

26.0ms	(.f64 (cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (.f64 x y)))) (cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y)))))
10.0ms	(cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))))
10.0ms	(cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))))
10.0ms	(cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))))

series1.4s (45.7%)

Counts

4 → 12

Calls

4 calls:

573.0ms	(.f64 (cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (.f64 x y)))) (cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y)))))
284.0ms	(cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))))
269.0ms	(cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))))
256.0ms	(cbrt.f64 (+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))))

simplify103.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4931	2956
1	4931	2956

prune190.0ms (6.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Merged error: 0.0b

Counts

109 → 2

Compiler

Compiled 4212 to 2392 computations (43.2% saved)

regimes54.0ms (1.8%)

Compiler: Compiled 243 to 193 computations (20.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample531.0ms (17.6%)

Algorithm

1×

intervals

Results

242.0ms	7999×	body	128	valid
10.0ms	264×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 60 to 49 computations (18.3% saved)

Details

analyze271.0ms (8.9%)

sample17.0ms (0.6%)

simplify177.0ms (5.9%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite13.0ms (0.4%)

series48.0ms (1.6%)

simplify125.0ms (4.1%)

prune20.0ms (0.7%)

localize12.0ms (0.4%)

rewrite70.0ms (2.3%)

series1.4s (45.7%)

simplify103.0ms (3.4%)

prune190.0ms (6.3%)

regimes54.0ms (1.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample531.0ms (17.6%)

Profiling